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Popular >

simplify (2a)(2a^2)(3a^3)

Solution

simplify

(2 a) (2 a^{2}) (3 a^{3})

Solution

12 a^{6}

Solution steps

(2 a) (2 a^{2}) (3 a^{3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2 \cdot 2 = 2^{1 + 1}

= a \cdot 2^{1 + 1} a^{2} \cdot 3 a^{3}

Add the numbers:

1 + 1 = 2

= a \cdot 2^{2} a^{2} \cdot 3 a^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a a^{2} a^{3} = a^{1 + 2 + 3}

= 2^{2} \cdot 3 a^{1 + 2 + 3}

Add the numbers:

1 + 2 + 3 = 6

= 2^{2} \cdot 3 a^{6}

2^{2} = 4

= 4 \cdot 3 a^{6}

Multiply the numbers:

4 \cdot 3 = 12

= 12 a^{6}

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Frequently Asked Questions (FAQ)

What is (2a)(2a^2)(3a^3) ?
The solution to (2a)(2a^2)(3a^3) is 12a^6